The length of rectangular garden is 31 feet and width of rectangular garden is 8 feet
Given that perimeter of the garden is 78 feet
Also given that length of a rectangular garden is 7 feet more than three times it width
Let the length of rectangle be "L"
Let the width of rectangle be "W"
According to gven information,
length of a rectangular garden = 7 + 3(width of rectangle)
L = 7 + 3W
The perimeter of rectangle is given as:
perimeter of rectangle = 2(length + width)
78 feet = 2( 7 + 3W + W)
78 = 2(7 + 4W)
78 = 14 + 8W
78 - 14 = 8W
64 = 8W
W = 8
Thus width of rectangular garden = 8 feet
length of a rectangular garden = L = 7 + 3W
L = 7 + 3(8) = 7 + 24 = 31
Thus length of rectangular garden = 31 feet